Atkin-Lehner |
2- 3+ 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
87360dw |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
15454333440000 = 212 · 36 · 54 · 72 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-163801,25570585] |
[a1,a2,a3,a4,a6] |
Generators |
[85519:-140400:343] [-251:7128:1] |
Generators of the group modulo torsion |
j |
118663201655107264/3773030625 |
j-invariant |
L |
8.5502185954806 |
L(r)(E,1)/r! |
Ω |
0.65204866145215 |
Real period |
R |
3.2782133839461 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999995955 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
87360gb2 43680cf1 |
Quadratic twists by: -4 8 |